Calabi-Yau threefolds in weighted flag varieties
Muhammad Imran Qureshi, Balazs Szendroi
TL;DR
This paper reviews the construction of Calabi-Yau threefolds within weighted flag varieties and discusses tautological orbi-bundles relevant for heterotic string models.
Contribution
It introduces a method to construct Calabi-Yau threefolds as quasilinear sections in weighted flag varieties and details tautological orbi-bundles on these varieties.
Findings
Construction of Calabi-Yau threefolds in weighted flag varieties
Description of tautological orbi-bundles for heterotic models
Potential applications in string theory model building
Abstract
We review the construction of families of projective varieties, in particular Calabi--Yau threefolds, as quasilinear sections in weighted flag varieties. We also describe a construction of tautological orbi-bundles on these varieties, which may be of interest in heterotic model building.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds